Paper 1 Measurement Drills

Topic-local exam-like MCQs. These are original questions generated from learnt 9749 Paper 1 patterns and the Topic 01 Measurement wiki notes.

Q1

Which row gives an SI base quantity and its corresponding SI base unit?

row	quantity	unit
A	force	newton
B	charge	coulomb
C	thermodynamic temperature	kelvin
D	energy	joule

A. A
B. B
C. C
D. D

Q2

The unit of pressure is $\mathrm{Pa}$. Which expression gives $\mathrm{Pa}$ in SI base units?

A. $\mathrm{kg}\mathrm{m}{\mathrm{s}}^{-2}$
B. $\mathrm{kg}{\mathrm{m}}^{-1}{\mathrm{s}}^{-2}$
C. $\mathrm{kg}{\mathrm{m}}^2{\mathrm{s}}^{-2}$
D. $\mathrm{kg}{\mathrm{m}}^{-2}{\mathrm{s}}^{-1}$

Q3

A student writes $x=k{t}^2$, where $x$ is displacement and $t$ is time. What is the SI base unit of $k$?

A. $\mathrm{m}{\mathrm{s}}^{-1}$
B. $\mathrm{m}{\mathrm{s}}^{-2}$
C. $\mathrm{kg}\mathrm{m}{\mathrm{s}}^{-2}$
D. ${\mathrm{s}}^2{\mathrm{m}}^{-1}$

Q4

Which equation is definitely not homogeneous if $F$ is force, $m$ is mass, $v$ is speed and $r$ is radius?

A. $v=u+at$
B. $s=ut+\frac{1}{2}a{t}^2$
C. $E=mgh+\frac{1}{2}m{v}^2$
D. $F=m{v}^2+r$

Q5

The diameter of a wire is $0.48\mathrm{mm}$. What is this in metres?

A. $4.8\times 10^{-4}\mathrm{m}$
B. $4.8\times 10^{-3}\mathrm{m}$
C. $4.8\times 10^4\mathrm{m}$
D. $4.8\times 10^{-6}\mathrm{m}$

Q6

A reading is quoted as $12.60\mathrm{cm}$. How many significant figures are shown?

A. 2
B. 3
C. 4
D. 5

Q7

A length is measured as $86.4\pm 0.2\mathrm{cm}$. What is the percentage uncertainty?

A. $0.23\%$
B. $0.46\%$
C. $2.3\%$
D. $23\%$

Q8

The radius of a circular disc is $r=2.50\pm 0.05\mathrm{cm}$. The area is calculated using $A=\pi r^2$. What is the percentage uncertainty in $A$?

A. $1.0\%$
B. $2.0\%$
C. $4.0\%$
D. $0.50\%$

Q9

A stopwatch is used to time 20 oscillations of a pendulum instead of one oscillation. Which uncertainty is mainly reduced?

A. systematic zero error of the stopwatch
B. percentage uncertainty due to reaction time
C. uncertainty in the length of the pendulum
D. calibration error in the stopwatch scale

Q10

Which statement best describes a systematic error?

A. It causes readings to scatter randomly about the true value.
B. It is removed by averaging many repeated readings.
C. It produces a repeatable bias in the measurement or relationship.
D. It is always equal to half the smallest scale division.

Q11

Which set of readings is precise but inaccurate if the accepted value is $5.00\mathrm{cm}$?

A. $4.10,5.00,5.90\mathrm{cm}$
B. $5.00,5.01,4.99\mathrm{cm}$
C. $5.41,5.42,5.40\mathrm{cm}$
D. $4.70,5.10,5.30\mathrm{cm}$

Q12

A measured value is $3.426\mathrm{m}$ with uncertainty $\pm 0.05\mathrm{m}$. Which is the best way to quote the result?

A. $3.426\pm 0.05\mathrm{m}$
B. $3.43\pm 0.05\mathrm{m}$
C. $3.4\pm 0.05\mathrm{m}$
D. $3.4260\pm 0.050\mathrm{m}$

Q13

Two independent length readings are subtracted to find $L=a-b$. If $a=52.4\pm 0.1\mathrm{cm}$ and $b=18.7\pm 0.1\mathrm{cm}$, what is $L$ with uncertainty?

A. $33.7\pm 0.0\mathrm{cm}$
B. $33.7\pm 0.1\mathrm{cm}$
C. $33.7\pm 0.2\mathrm{cm}$
D. $71.1\pm 0.2\mathrm{cm}$

Q14

The figure shows a vector $\vec{F}$ resolved into perpendicular components.

Which statement is correct if the angle $\theta$ is measured from the horizontal component?

A. $F_x=F\sin \theta$ and $F_y=F\cos \theta$
B. $F_x=F\cos \theta$ and $F_y=F\sin \theta$
C. $F_x=F\tan \theta$ and $F_y=F/\tan \theta$
D. $F_x=F_y=F$

Q15

Which quantity is a vector?

A. electric potential
B. density
C. displacement
D. energy

Q16

An object moves $6.0\mathrm{m}$ east and then $8.0\mathrm{m}$ north. What is the magnitude of its resultant displacement?

A. $2.0\mathrm{m}$
B. $10.0\mathrm{m}$
C. $14.0\mathrm{m}$
D. $48.0\mathrm{m}$

Q17

Which graphing practice is correct for experimental data?

A. Always join every plotted point with straight lines.
B. Put units in the table cells instead of the column headings.
C. Use a sensible scale that spreads the data over much of the graph area.
D. Force the best-fit line through the origin in every experiment.

Q18

The gradient of a graph of $V/\mathrm{V}$ against $I/\mathrm{A}$ is calculated. What is the unit of the gradient?

A. $\mathrm{A}{\mathrm{V}}^{-1}$
B. $\mathrm{V}{\mathrm{A}}^{-1}$
C. $\mathrm{V}\mathrm{A}$
D. dimensionless

Q19

A student estimates a classroom length as $8\mathrm{m}$. What is the nearest order of magnitude?

A. $10^{-1}\mathrm{m}$
B. $10^0\mathrm{m}$
C. $10^1\mathrm{m}$
D. $10^2\mathrm{m}$

Q20

Which statement about dimensional analysis is correct?

A. It proves that a homogeneous equation is physically correct.
B. It can detect a missing dimensionless numerical factor.
C. It checks whether added or equated terms have compatible dimensions.
D. It is unnecessary if all quantities are written in named SI units.